What is the Greatest Common Factor of 39916 and 39924?

Greatest common factor (GCF) of 39916 and 39924 is 4.

GCF(39916,39924) = 4

We will now calculate the prime factors of 39916 and 39924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39916 and 39924.

How to find the GCF of 39916 and 39924?

We will first find the prime factorization of 39916 and 39924. After we will calculate the factors of 39916 and 39924 and find the biggest common factor number .

Step-1: Prime Factorization of 39916

Prime factors of 39916 are 2, 17, 587. Prime factorization of 39916 in exponential form is:

39916 = 2² × 17¹ × 587¹

Step-2: Prime Factorization of 39924

Prime factors of 39924 are 2, 3, 1109. Prime factorization of 39924 in exponential form is:

39924 = 2² × 3² × 1109¹

Step-3: Factors of 39916

List of positive integer factors of 39916 that divides 39916 without a remainder.

1, 2, 4, 17, 34, 68, 587, 1174, 2348, 9979, 19958

Step-4: Factors of 39924

List of positive integer factors of 39924 that divides 39916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1109, 2218, 3327, 4436, 6654, 9981, 13308, 19962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39916 and 39924. The biggest common factor number is the GCF number.
So the greatest common factor 39916 and 39924 is 4.

Also check out the Least Common Multiple of 39916 and 39924